Security-59754.41.1.tar.gz

[apple/security.git] / OSX / libsecurity_apple_csp / open_ssl / bn / bn_lib.c

/*
 * Copyright (c) 2000-2001,2011,2014 Apple Inc. All Rights Reserved.
 * 
 * The contents of this file constitute Original Code as defined in and are
 * subject to the Apple Public Source License Version 1.2 (the 'License').
 * You may not use this file except in compliance with the License. Please obtain
 * a copy of the License at http://www.apple.com/publicsource and read it before
 * using this file.
 * 
 * This Original Code and all software distributed under the License are
 * distributed on an 'AS IS' basis, WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESS
 * OR IMPLIED, AND APPLE HEREBY DISCLAIMS ALL SUCH WARRANTIES, INCLUDING WITHOUT
 * LIMITATION, ANY WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
 * PURPOSE, QUIET ENJOYMENT OR NON-INFRINGEMENT. Please see the License for the
 * specific language governing rights and limitations under the License.
 */


/* crypto/bn/bn_lib.c */
/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
 * All rights reserved.
 *
 * This package is an SSL implementation written
 * by Eric Young (eay@cryptsoft.com).
 * The implementation was written so as to conform with Netscapes SSL.
 * 
 * This library is free for commercial and non-commercial use as long as
 * the following conditions are aheared to.  The following conditions
 * apply to all code found in this distribution, be it the RC4, RSA,
 * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
 * included with this distribution is covered by the same copyright terms
 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
 * 
 * Copyright remains Eric Young's, and as such any Copyright notices in
 * the code are not to be removed.
 * If this package is used in a product, Eric Young should be given attribution
 * as the author of the parts of the library used.
 * This can be in the form of a textual message at program startup or
 * in documentation (online or textual) provided with the package.
 * 
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 * 3. All advertising materials mentioning features or use of this software
 *    must display the following acknowledgement:
 *    "This product includes cryptographic software written by
 *     Eric Young (eay@cryptsoft.com)"
 *    The word 'cryptographic' can be left out if the rouines from the library
 *    being used are not cryptographic related :-).
 * 4. If you include any Windows specific code (or a derivative thereof) from 
 *    the apps directory (application code) you must include an acknowledgement:
 *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
 * 
 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 * 
 * The licence and distribution terms for any publically available version or
 * derivative of this code cannot be changed.  i.e. this code cannot simply be
 * copied and put under another distribution licence
 * [including the GNU Public Licence.]
 */

#include <stdio.h>
#include "cryptlib.h"
#include "bn_lcl.h"

const char *BN_version="Big Number" OPENSSL_VERSION_PTEXT;

#if             BN_PARAMS_ENABLE

/* For a 32 bit machine
 * 2 -   4 ==  128
 * 3 -   8 ==  256
 * 4 -  16 ==  512
 * 5 -  32 == 1024
 * 6 -  64 == 2048
 * 7 - 128 == 4096
 * 8 - 256 == 8192
 */
static int bn_limit_bits=0;
static int bn_limit_num=8;        /* (1<<bn_limit_bits) */
static int bn_limit_bits_low=0;
static int bn_limit_num_low=8;    /* (1<<bn_limit_bits_low) */
static int bn_limit_bits_high=0;
static int bn_limit_num_high=8;   /* (1<<bn_limit_bits_high) */
static int bn_limit_bits_mont=0;
static int bn_limit_num_mont=8;   /* (1<<bn_limit_bits_mont) */

void BN_set_params(int mult, int high, int low, int mont)
        {
        if (mult >= 0)
                {
                if (mult > (sizeof(int)*8)-1)
                        mult=sizeof(int)*8-1;
                bn_limit_bits=mult;
                bn_limit_num=1<<mult;
                }
        if (high >= 0)
                {
                if (high > (sizeof(int)*8)-1)
                        high=sizeof(int)*8-1;
                bn_limit_bits_high=high;
                bn_limit_num_high=1<<high;
                }
        if (low >= 0)
                {
                if (low > (sizeof(int)*8)-1)
                        low=sizeof(int)*8-1;
                bn_limit_bits_low=low;
                bn_limit_num_low=1<<low;
                }
        if (mont >= 0)
                {
                if (mont > (sizeof(int)*8)-1)
                        mont=sizeof(int)*8-1;
                bn_limit_bits_mont=mont;
                bn_limit_num_mont=1<<mont;
                }
        }

int BN_get_params(int which)
        {
        if      (which == 0) return(bn_limit_bits);
        else if (which == 1) return(bn_limit_bits_high);
        else if (which == 2) return(bn_limit_bits_low);
        else if (which == 3) return(bn_limit_bits_mont);
        else return(0);
        }
#endif  /* BN_PARAMS_ENABLE */

BIGNUM *BN_value_one(void)
        {
        static BN_ULONG data_one=1L;
        static BIGNUM const_one={&data_one,1,1,0};

        return(&const_one);
        }

char *BN_options(void)
        {
        static int init=0;
        static char data[16];

        if (!init)
                {
                init++;
#ifdef BN_LLONG
                sprintf(data,"bn(%d,%d)",(int)sizeof(BN_ULLONG)*8,
                        (int)sizeof(BN_ULONG)*8);
#else
                sprintf(data,"bn(%d,%d)",(int)sizeof(BN_ULONG)*8,
                        (int)sizeof(BN_ULONG)*8);
#endif
                }
        return(data);
        }

int BN_num_bits_word(BN_ULONG l)
        {
        static const char bits[256]={
                0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,
                5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
                6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
                6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
                7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
                7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
                7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
                7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
                8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
                8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
                8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
                8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
                8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
                8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
                8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
                8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
                };

#if defined(SIXTY_FOUR_BIT_LONG)
        if (l & 0xffffffff00000000L)
                {
                if (l & 0xffff000000000000L)
                        {
                        if (l & 0xff00000000000000L)
                                {
                                return(bits[(int)(l>>56)]+56);
                                }
                        else    return(bits[(int)(l>>48)]+48);
                        }
                else
                        {
                        if (l & 0x0000ff0000000000L)
                                {
                                return(bits[(int)(l>>40)]+40);
                                }
                        else    return(bits[(int)(l>>32)]+32);
                        }
                }
        else
#else
#ifdef SIXTY_FOUR_BIT
        if (l & 0xffffffff00000000LL)
                {
                if (l & 0xffff000000000000LL)
                        {
                        if (l & 0xff00000000000000LL)
                                {
                                return(bits[(int)(l>>56)]+56);
                                }
                        else    return(bits[(int)(l>>48)]+48);
                        }
                else
                        {
                        if (l & 0x0000ff0000000000LL)
                                {
                                return(bits[(int)(l>>40)]+40);
                                }
                        else    return(bits[(int)(l>>32)]+32);
                        }
                }
        else
#endif
#endif
                {
#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
                if (l & 0xffff0000L)
                        {
                        if (l & 0xff000000L)
                                return(bits[(int)(l>>24L)]+24);
                        else    return(bits[(int)(l>>16L)]+16);
                        }
                else
#endif
                        {
#if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
                        if (l & 0xff00L)
                                return(bits[(int)(l>>8)]+8);
                        else    
#endif
                                return(bits[(int)(l   )]  );
                        }
                }
        }

int BN_num_bits(const BIGNUM *a)
        {
        BN_ULONG l;
        int i;

        bn_check_top(a);

        if (a->top == 0) return(0);
        l=a->d[a->top-1];
        i=(a->top-1)*BN_BITS2;
        if (l == 0)
                {
#if !defined(NO_STDIO) && !defined(WIN16)
                fprintf(stderr,"BAD TOP VALUE\n");
#endif
                abort();
                }
        return(i+BN_num_bits_word(l));
        }

void BN_clear_free(BIGNUM *a)
        {
        int i;

        if (a == NULL) return;
        if (a->d != NULL)
                {
                memset(a->d,0,a->max*sizeof(a->d[0]));
                if (!(BN_get_flags(a,BN_FLG_STATIC_DATA)))
                        Free(a->d);
                }
        i=BN_get_flags(a,BN_FLG_MALLOCED);
        memset(a,0,sizeof(BIGNUM));
        if (i)
                Free(a);
        }

void BN_free(BIGNUM *a)
        {
        if (a == NULL) return;
        if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA)))
                Free(a->d);
        a->flags|=BN_FLG_FREE; /* REMOVE? */
        if (a->flags & BN_FLG_MALLOCED)
                Free(a);
        }

void BN_init(BIGNUM *a)
        {
        memset(a,0,sizeof(BIGNUM));
        }

BIGNUM *BN_new(void)
        {
        BIGNUM *ret;

        if ((ret=(BIGNUM *)Malloc(sizeof(BIGNUM))) == NULL)
                {
                BNerr(BN_F_BN_NEW,ERR_R_MALLOC_FAILURE);
                return(NULL);
                }
        ret->flags=BN_FLG_MALLOCED;
        ret->top=0;
        ret->neg=0;
        ret->max=0;
        ret->d=NULL;
        return(ret);
        }

/* This is an internal function that should not be used in applications.
 * It ensures that 'b' has enough room for a 'words' word number number.
 * It is mostly used by the various BIGNUM routines. If there is an error,
 * NULL is returned. If not, 'b' is returned. */

BIGNUM *bn_expand2(BIGNUM *b, int words)
        {
        BN_ULONG *A,*a;
        const BN_ULONG *B;
        int i;

        bn_check_top(b);

        if (words > b->max)
                {
                bn_check_top(b);        
                if (BN_get_flags(b,BN_FLG_STATIC_DATA))
                        {
                        BNerr(BN_F_BN_EXPAND2,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
                        return(NULL);
                        }
                a=A=(BN_ULONG *)Malloc(sizeof(BN_ULONG)*(words+1));
                if (A == NULL)
                        {
                        BNerr(BN_F_BN_EXPAND2,ERR_R_MALLOC_FAILURE);
                        return(NULL);
                        }
#if 1
                B=b->d;
                /* Check if the previous number needs to be copied */
                if (B != NULL)
                        {
#if 0
                        /* This lot is an unrolled loop to copy b->top 
                         * BN_ULONGs from B to A
                         */
/*
 * I have nothing against unrolling but it's usually done for
 * several reasons, namely:
 * - minimize percentage of decision making code, i.e. branches;
 * - avoid cache trashing;
 * - make it possible to schedule loads earlier;
 * Now let's examine the code below. The cornerstone of C is
 * "programmer is always right" and that's what we love it for:-)
 * For this very reason C compilers have to be paranoid when it
 * comes to data aliasing and assume the worst. Yeah, but what
 * does it mean in real life? This means that loop body below will
 * be compiled to sequence of loads immediately followed by stores
 * as compiler assumes the worst, something in A==B+1 style. As a
 * result CPU pipeline is going to starve for incoming data. Secondly
 * if A and B happen to share same cache line such code is going to
 * cause severe cache trashing. Both factors have severe impact on
 * performance of modern CPUs and this is the reason why this
 * particular piece of code is #ifdefed away and replaced by more
 * "friendly" version found in #else section below. This comment
 * also applies to BN_copy function.
 *
 *                                      <appro@fy.chalmers.se>
 */
                        for (i=b->top&(~7); i>0; i-=8)
                                {
                                A[0]=B[0]; A[1]=B[1]; A[2]=B[2]; A[3]=B[3];
                                A[4]=B[4]; A[5]=B[5]; A[6]=B[6]; A[7]=B[7];
                                A+=8;
                                B+=8;
                                }
                        switch (b->top&7)
                                {
                        case 7:
                                A[6]=B[6];
                        case 6:
                                A[5]=B[5];
                        case 5:
                                A[4]=B[4];
                        case 4:
                                A[3]=B[3];
                        case 3:
                                A[2]=B[2];
                        case 2:
                                A[1]=B[1];
                        case 1:
                                A[0]=B[0];
                        case 0:
                                /* I need the 'case 0' entry for utrix cc.
                                 * If the optimizer is turned on, it does the
                                 * switch table by doing
                                 * a=top&7
                                 * a--;
                                 * goto jump_table[a];
                                 * If top is 0, this makes us jump to 0xffffffc 
                                 * which is rather bad :-(.
                                 * eric 23-Apr-1998
                                 */
                                ;
                                }
#else
                        for (i=b->top>>2; i>0; i--,A+=4,B+=4)
                                {
                                /*
                                 * The fact that the loop is unrolled
                                 * 4-wise is a tribute to Intel. It's
                                 * the one that doesn't have enough
                                 * registers to accomodate more data.
                                 * I'd unroll it 8-wise otherwise:-)
                                 *
                                 *              <appro@fy.chalmers.se>
                                 */
                                BN_ULONG a0,a1,a2,a3;
                                a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
                                A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
                                }
                        switch (b->top&3)
                                {
                                case 3: A[2]=B[2];
                                case 2: A[1]=B[1];
                                case 1: A[0]=B[0];
                                case 0: ; /* ultrix cc workaround, see above */
                                }
#endif
                        Free(b->d);
                        }

                b->d=a;
                b->max=words;

                /* Now need to zero any data between b->top and b->max */

                A= &(b->d[b->top]);
                for (i=(b->max - b->top)>>3; i>0; i--,A+=8)
                        {
                        A[0]=0; A[1]=0; A[2]=0; A[3]=0;
                        A[4]=0; A[5]=0; A[6]=0; A[7]=0;
                        }
                for (i=(b->max - b->top)&7; i>0; i--,A++)
                        A[0]=0;
#else
                        memset(A,0,sizeof(BN_ULONG)*(words+1));
                        memcpy(A,b->d,sizeof(b->d[0])*b->top);
                        b->d=a;
                        b->max=words;
#endif
                
/*              memset(&(p[b->max]),0,((words+1)-b->max)*sizeof(BN_ULONG)); */
/*      { int i; for (i=b->max; i<words+1; i++) p[i]=i;} */

                }
        return(b);
        }

BIGNUM *BN_dup(const BIGNUM *a)
        {
        BIGNUM *r;

        if (a == NULL) return NULL;

        bn_check_top(a);

        r=BN_new();
        if (r == NULL) return(NULL);
        return((BIGNUM *)BN_copy(r,a));
        }

BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
        {
        int i;
        BN_ULONG *A;
        const BN_ULONG *B;

        bn_check_top(b);

        if (a == b) return(a);
        if (bn_wexpand(a,b->top) == NULL) return(NULL);

#if 1
        A=a->d;
        B=b->d;
        for (i=b->top>>2; i>0; i--,A+=4,B+=4)
                {
                BN_ULONG a0,a1,a2,a3;
                a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
                A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
                }
        switch (b->top&3)
                {
                case 3: A[2]=B[2];
                case 2: A[1]=B[1];
                case 1: A[0]=B[0];
                case 0: ; /* ultrix cc workaround, see comments in bn_expand2 */
                }
#else
        memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
#endif

/*      memset(&(a->d[b->top]),0,sizeof(a->d[0])*(a->max-b->top));*/
        a->top=b->top;
        if ((a->top == 0) && (a->d != NULL))
                a->d[0]=0;
        a->neg=b->neg;
        return(a);
        }

void BN_clear(BIGNUM *a)
        {
        if (a->d != NULL)
                memset(a->d,0,a->max*sizeof(a->d[0]));
        a->top=0;
        a->neg=0;
        }

BN_ULONG BN_get_word(BIGNUM *a)
        {
        int i;
        unsigned n;
        BN_ULONG ret=0;

        n=BN_num_bytes(a);
        if (n > sizeof(BN_ULONG))
                return(BN_MASK2);
        for (i=a->top-1; i>=0; i--)
                {
#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
                ret<<=BN_BITS4; /* stops the compiler complaining */
                ret<<=BN_BITS4;
#else
                ret=0;
#endif
                ret|=a->d[i];
                }
        return(ret);
        }

int BN_set_word(BIGNUM *a, BN_ULONG w)
        {
        int i,n;
        
        if (bn_expand(a,(int)(sizeof(BN_ULONG)*8)) == NULL) return(0);

        n=sizeof(BN_ULONG)/BN_BYTES;
        a->neg=0;
        a->top=0;
        a->d[0]=(BN_ULONG)w&BN_MASK2;
        if (a->d[0] != 0) a->top=1;
        for (i=1; i<n; i++)
                {
                /* the following is done instead of
                 * w>>=BN_BITS2 so compilers don't complain
                 * on builds where sizeof(long) == BN_TYPES */
#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
                w>>=BN_BITS4;
                w>>=BN_BITS4;
#else
                w=0;
#endif
                a->d[i]=(BN_ULONG)w&BN_MASK2;
                if (a->d[i] != 0) a->top=i+1;
                }
        return(1);
        }

/* ignore negative */
BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
        {
        unsigned int i,m;
        unsigned int n;
        BN_ULONG l;

        if (ret == NULL) ret=BN_new();
        if (ret == NULL) return(NULL);
        l=0;
        n=len;
        if (n == 0)
                {
                ret->top=0;
                return(ret);
                }
        if (bn_expand(ret,(int)(n+2)*8) == NULL)
                return(NULL);
        i=((n-1)/BN_BYTES)+1;
        m=((n-1)%(BN_BYTES));
        ret->top=i;
        while (n-- > 0)
                {
                l=(l<<8L)| *(s++);
                if (m-- == 0)
                        {
                        ret->d[--i]=l;
                        l=0;
                        m=BN_BYTES-1;
                        }
                }
        /* need to call this due to clear byte at top if avoiding
         * having the top bit set (-ve number) */
        bn_fix_top(ret);
        return(ret);
        }

/* ignore negative */
int BN_bn2bin(const BIGNUM *a, unsigned char *to)
        {
        int n,i;
        BN_ULONG l;

        n=i=BN_num_bytes(a);
        while (i-- > 0)
                {
                l=a->d[i/BN_BYTES];
                *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff;
                }
        return(n);
        }

int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
        {
        int i;
        BN_ULONG t1,t2,*ap,*bp;

        bn_check_top(a);
        bn_check_top(b);

        i=a->top-b->top;
        if (i != 0) return(i);
        ap=a->d;
        bp=b->d;
        for (i=a->top-1; i>=0; i--)
                {
                t1= ap[i];
                t2= bp[i];
                if (t1 != t2)
                        return(t1 > t2?1:-1);
                }
        return(0);
        }

int BN_cmp(const BIGNUM *a, const BIGNUM *b)
        {
        int i;
        int gt,lt;
        BN_ULONG t1,t2;

        if ((a == NULL) || (b == NULL))
                {
                if (a != NULL)
                        return(-1);
                else if (b != NULL)
                        return(1);
                else
                        return(0);
                }

        bn_check_top(a);
        bn_check_top(b);

        if (a->neg != b->neg)
                {
                if (a->neg)
                        return(-1);
                else    return(1);
                }
        if (a->neg == 0)
                { gt=1; lt= -1; }
        else    { gt= -1; lt=1; }

        if (a->top > b->top) return(gt);
        if (a->top < b->top) return(lt);
        for (i=a->top-1; i>=0; i--)
                {
                t1=a->d[i];
                t2=b->d[i];
                if (t1 > t2) return(gt);
                if (t1 < t2) return(lt);
                }
        return(0);
        }

int BN_set_bit(BIGNUM *a, int n)
        {
        int i,j,k;

        i=n/BN_BITS2;
        j=n%BN_BITS2;
        if (a->top <= i)
                {
                if (bn_wexpand(a,i+1) == NULL) return(0);
                for(k=a->top; k<i+1; k++)
                        a->d[k]=0;
                a->top=i+1;
                }

        a->d[i]|=(((BN_ULONG)1)<<j);
        return(1);
        }

int BN_clear_bit(BIGNUM *a, int n)
        {
        int i,j;

        i=n/BN_BITS2;
        j=n%BN_BITS2;
        if (a->top <= i) return(0);

        a->d[i]&=(~(((BN_ULONG)1)<<j));
        bn_fix_top(a);
        return(1);
        }

int BN_is_bit_set(const BIGNUM *a, int n)
        {
        int i,j;

        if (n < 0) return(0);
        i=n/BN_BITS2;
        j=n%BN_BITS2;
        if (a->top <= i) return(0);
        return((a->d[i]&(((BN_ULONG)1)<<j))?1:0);
        }

int BN_mask_bits(BIGNUM *a, int n)
        {
        int b,w;

        w=n/BN_BITS2;
        b=n%BN_BITS2;
        if (w >= a->top) return(0);
        if (b == 0)
                a->top=w;
        else
                {
                a->top=w+1;
                a->d[w]&= ~(BN_MASK2<<b);
                }
        bn_fix_top(a);
        return(1);
        }

int bn_cmp_words(BN_ULONG *a, BN_ULONG *b, int n)
        {
        int i;
        BN_ULONG aa,bb;

        aa=a[n-1];
        bb=b[n-1];
        if (aa != bb) return((aa > bb)?1:-1);
        for (i=n-2; i>=0; i--)
                {
                aa=a[i];
                bb=b[i];
                if (aa != bb) return((aa > bb)?1:-1);
                }
        return(0);
        }